Answered: 2) Great white sharks are big and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

2) Great white sharks are big and hungry. Here is a sample of lengths in feet of great whites:

18.7 12.3 18.6 15.7 18.3 14.6 15.8 14.9 17.6 13.2

12.1 16.4 16.7 17.8 16.2 12.6 17.8 13.8 12.2 15.7

15.2 14.7 12.4 13.2 15.8 14.3 16.6 9.4 18.2 19.7

13.2 13.6 15.3 16.1 13.5 19.1 16.2 22.8 16.8 18.7

13.6 15.3 16.1 13.5 19.1 16.2 22.8 16.8 13.6 13.2

Your report must include, but not limited to the following points.

a) Make a frequency distribution of the data set using eight classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies.

b) Display the data using a frequency histogram and a frequency polygon on the same axes.

c) Display the data using a stem-and-leaf plot. Use one line per stem. (d) Display the data using an ogive.

e) Find the mean, median, and mode of the sample data set. (f) Find the range, variance, and standard deviation of the data set.

g) Find the coefficient of variation.

h) Examine these data for shape, center, spread, and outliers. The distribution is reasonably Normal except for one outlier in each direction. Because these are not extreme and preserve the symmetry of the distribution, use of the t procedures is safe with these observations.

i) Display the data using a box-and-whisker plot.

j) Give 90%, 95%, and 99% confidence intervals respectively for the mean length of great white sharks.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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